Question

Is V= { x: x ² - 3 = 0 ,where x is a natural number} is empty set ........yes or no​

Answer 1

V= { x : x ² - 3 = 0 }

Let us examine the equation whether it is true for natural numbers or not .

x² - 3 = 0

x² = 3

x = √3

We know that √3 is a irrational number and not a natural number .

So , YES the given set is empty .